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Discrete Dynamics in Nature and Society
Volume 2015 (2015), Article ID 436567, 22 pages
Research Article

Random Vibration Analysis of Train Moving over Slab Track on Bridge under Track Irregularities and Earthquakes by Pseudoexcitation Method

1School of Civil Engineering, Central South University, Changsha 410075, China
2Department of Architecture, Kanagawa University, Kanagawa 221-8686, Japan
3Key Laboratory of Engineering Structure of Heavy Railway (Central South University), Ministry of Education, Changsha 410075, China
4School of Mechanics and Engineering Science, Zhengzhou University, Zhengzhou 450001, China
5College of Civil Science and Technology, Yangzhou University, Yangzhou 225127, China

Received 17 March 2015; Revised 22 May 2015; Accepted 25 May 2015

Academic Editor: Luca Guerrini

Copyright © 2015 Zhiping Zeng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper investigates the random vibration and the dynamic reliability of operation stability of train moving over slab track on bridge under track irregularities and earthquakes by the pseudoexcitation method (PEM). Each vehicle is modeled by multibody dynamics. The track and bridge is simulated by a rail-slab-girder-pier interaction finite element model. The coupling equations of motion are established based on the wheel-rail interaction relationship. The random excitations of the track irregularities and seismic accelerations are transformed into a series of deterministic pseudoexcitations by PEM. The time-dependent power spectral densities (PSDs) of the random vibration of the system are obtained by step-by-step integration method, and the corresponding dynamic reliability is estimated based on the first-passage failure criterion. A case study is then presented in which a high-speed train moves over a slab track resting on a simply supported girder bridge. The PSD characteristics of the random vibration of the bridge and train are analyzed, the influence of the wheel-rail-bridge interaction models on the random vibration of the bridge and train is discussed, and furthermore the influence of train speed, earthquake intensity, and pier height on the dynamic reliability of train operation stability is studied.